1) 12 cookies per hour
2) train travels 80 miles per hour
<h2>
Explanation:</h2>
In every rectangle, the two diagonals have the same length. If a quadrilateral's diagonals have the same length, that doesn't mean it has to be a rectangle, but if a parallelogram's diagonals have the same length, then it's definitely a rectangle.
So first of all, let's prove this is a parallelogram. The basic definition of a parallelogram is that it is a quadrilateral where both pairs of opposite sides are parallel.
So let's name the vertices as:

First pair of opposite sides:
<u>Slope:</u>

Second pair of opposite sides:
<u>Slope:</u>

So in fact this is a parallelogram. The other thing we need to prove is that the diagonals measure the same. Using distance formula:

So the diagonals measure the same, therefore this is a rectangle.
Given:
∠PRS and ∠VUW are supplementary.
To prove:
Line TV || Line QS
Solution:
Step 1: Given
∠PRS and ∠VUW are supplementary.
Step 2: By the definition of supplementary angles

Step 3: Angles forming a linear pair sum to 180°

Step 4: By transitive property of equality
step 2 = step 3

Step 5: By algebra cancel the common terms in both side.

Step 6: By converse of corresponding angles postulate
Line TV || Line QS
Hence proved.
Answer:
the answer would be 20
Step-by-step explanation:
so if 18-(-2)=?
two nwgatives make a positive. So the equation would turn into 18+2=20
Im not 100% if this is right but htis is how I was taught to do it.
Answer:
Using the formula:

where
A is the total amount
P is the principal
I is the Simple Interest
As per the statement:
Principal(P) = 5300 rupees.
rate of interest(r) = 6.5% = 0.065
Total amount(A) = 6678 rupees.
Then using above formula we have;

Subtract 5300 both sides we get;

or

We have to find the time period.
Using formula of Simple interest:

where r is the rate of interest (in decimal)
here, r = 6.5% = 0.065
Substitute the given values top find t:

⇒
Divide both sides by 344.5 we have;

Therefore, the time period t in years is 4 years